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Finding the Fourth Proportional to 9,128.13, 12,596.84 and 4,936.38

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Solution

The fourth proportional to 9,128.13, 12,596.84 and 4,936.38 is: 6,812.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,128.13 : 12,596.84 = 4,936.38 : x
  2. Step 2: Convert to fraction form
    9,128.13/12,596.84 = 4,936.38/x
  3. Step 3: Cross multiply
    9,128.13x = 12,596.84 × 4,936.38
  4. Step 4: Simplify right side
    9,128.13x = 62,182,789.04
  5. Step 5: Solve for x
    x = 62,182,789.04/9,128.13
  6. Step 6: Final answer
    x = 6,812.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.